66690480025 has 81 divisors (see below), whose sum is σ = 93422946981. Its totient is φ = 47203054080.

The previous prime is 66690480023. The next prime is 66690480037. The reversal of 66690480025 is 52008409666.

The square root of 66690480025 is 258245.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 55588907529 + 11101572496 = 235773^2 + 105364^2 .

It is not a de Polignac number, because 66690480025 - 2¹ = 66690480023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66690480023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 486791757 + ... + 486791893.

Almost surely, 2^66690480025 is an apocalyptic number.

66690480025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66690480025 is the 258245-th square number.

66690480025 is the 129123-rd centered octagonal number.

It is an amenable number.

66690480025 is a deficient number, since it is larger than the sum of its proper divisors (26732466956).

66690480025 is a wasteful number, since it uses less digits than its factorization.

66690480025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 66690480025 in words is "sixty-six billion, six hundred ninety million, four hundred eighty thousand, twenty-five".